{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BL2GEHFLOORG7WZXGS53C5FPFY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9f1146f990f6edee9471ec0501de298bc736887c094ad5ed859a4e744d54f874","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-05-03T13:05:19Z","title_canon_sha256":"8df38c4ba85cc0ad3e5cd7801f39cbfad7bddc185d3208e8fdf3eb746d8bab19"},"schema_version":"1.0","source":{"id":"2405.02071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.02071","created_at":"2026-07-05T11:41:34Z"},{"alias_kind":"arxiv_version","alias_value":"2405.02071v2","created_at":"2026-07-05T11:41:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.02071","created_at":"2026-07-05T11:41:34Z"},{"alias_kind":"pith_short_12","alias_value":"BL2GEHFLOORG","created_at":"2026-07-05T11:41:34Z"},{"alias_kind":"pith_short_16","alias_value":"BL2GEHFLOORG7WZX","created_at":"2026-07-05T11:41:34Z"},{"alias_kind":"pith_short_8","alias_value":"BL2GEHFL","created_at":"2026-07-05T11:41:34Z"}],"graph_snapshots":[{"event_id":"sha256:27e9d0cf90b7bf1a63d6a12acb174a925f62c642785498ba08c16ce0f3013aa7","target":"graph","created_at":"2026-07-05T11:41:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.02071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a Kerr initial data set. This results from a more general perturbative construction on any asymptotically flat initial data set with the topology of $\\mathbb{R}^3\\setminus\\{r<1\\}$ enjoying some analyticity near and at the boundary. In particular, we design a suitable mixed boundary condition for the elliptic operator of the conformal method in order to exclude","authors_text":"Allen Juntao Fang, Arthur Touati, J\\'er\\'emie Szeftel","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-05-03T13:05:19Z","title":"Spacelike initial data for black hole stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.02071","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8b9e9793a286ffc597f8ba6c973ed3b4086f2c48231415b99572442278967daa","target":"record","created_at":"2026-07-05T11:41:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9f1146f990f6edee9471ec0501de298bc736887c094ad5ed859a4e744d54f874","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-05-03T13:05:19Z","title_canon_sha256":"8df38c4ba85cc0ad3e5cd7801f39cbfad7bddc185d3208e8fdf3eb746d8bab19"},"schema_version":"1.0","source":{"id":"2405.02071","kind":"arxiv","version":2}},"canonical_sha256":"0af4621cab73a26fdb3734bbb174af2e04312b99e43a032317ffb89114714730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0af4621cab73a26fdb3734bbb174af2e04312b99e43a032317ffb89114714730","first_computed_at":"2026-07-05T11:41:34.114615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:34.114615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uBkg6uCIzCrxD0FbeDecsbR9xWdHRMPEtH4JADWjwZziSl0qRt3ZAMcgJwTEA+4ZN29dgkLk/IBAAKoFkXfqBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:34.115171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.02071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b9e9793a286ffc597f8ba6c973ed3b4086f2c48231415b99572442278967daa","sha256:27e9d0cf90b7bf1a63d6a12acb174a925f62c642785498ba08c16ce0f3013aa7"],"state_sha256":"d3590d9330e1646912f48b5ee1e9c73637b2d7edc14863558821ca09286a06e1"}